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Finding the Third Proportional to 190,481 and 284,787

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Solution

The third proportional to 190,481 and 284,787 is: 425,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,481 : 284,787 = 284,787 : x
  2. Step 2: Convert to fraction form
    190,481/284,787 = 284,787/x
  3. Step 3: Cross multiply
    190,481x = 284,787 × 284,787
  4. Step 4: Simplify right side
    190,481x = 81,103,635,369
  5. Step 5: Solve for x
    x = 81,103,635,369/190,481
  6. Step 6: Final answer
    x = 425,783.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.